Finite quotients of surface braid groups and double Kodaira fibrations

Francesco Polizzi; Pietro Sabatino

doi:10.1007/978-3-031-11938-5_15

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arXiv · 2106.01743

Finite quotients of surface braid groups and double Kodaira fibrations

Francesco Polizzi·Pietro Sabatino

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Abstract

Let $\Sigma_b$ be a closed Riemann surface of genus $b$. We give an account of some results obtained in the recent papers \cite{CaPol19, Pol20, PolSab21} and concerning what we call here \emph{pure braid quotients},namely non-abelian finite groups appearing as quotients of the pure braid group on two strands $\mathsf{P}_2(\Sigma_b)$. We also explain how these groups can be used in order to provide new constructions of double Kodaira fibrations.

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Francesco Polizzi, Pietro Sabatino. 2021-06-03. Finite quotients of surface braid groups and double Kodaira fibrations. https://doi.org/10.1007/978-3-031-11938-5_15

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